Large Non-Gaussianity Implication for Curvaton Scenario

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, 1 figure; minor clarification and refs added; version for publication in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2008.10.013

We argue that the typical energy density of a light scalar field should not
be less than $H^4$ in the inflationary Universe. This requirement implies that
the non-Gaussianity parameter $f_{NL}$ is typically bounded by the
tensor-scalar ratio $r$ from above, namely $f_{NL}\lesssim 518\cdot r^{1\over
4}$. If $f_{NL}=10^2$, inflation occurred around the GUT scale.

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